convert 75 degrees into radian measure. calculate the distance between two points on a circle if its radius is 1000m and the angle of separation is 75 degrees.

Question

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Answer 1

75(π/180) = 5π/12 radians

arc length = central angle (2πr)

                           360

measure of the inscribed angle = 75º

measure of the central angle = 150º

 

arc length = 150 (2π1000)

                     360

arc length = (5/12)(2000π)

arc length = (166 2/3)π meters